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An ab-initio numerical study of the density-dependent, evolutionary stable dispersal strategy is presented. The simulations are based on a simple discretei generation island model with four processes: reproduction, dispersal, competition…

Populations and Evolution · Quantitative Biology 2013-01-09 Shlomit Weisman , Nadav M. Shnerb , David A. Kessler

The spreading of evolutionary novelties across populations is the central element of adaptation. Unless population are well-mixed (like bacteria in a shaken test tube), the spreading dynamics not only depends on fitness differences but also…

Populations and Evolution · Quantitative Biology 2015-06-19 Oskar Hallatschek , Daniel S. Fisher

The spatial dispersal of individuals is known to play an important role in the dynamics of populations, and is central to metapopulation theory. At the same time, local adaptation to environmental conditions creates a geographic mosaic of…

Populations and Evolution · Quantitative Biology 2017-09-25 Justin D. Yeakel , Jean P. Gibert , Peter A. H. Westley , Jonathan W. Moore

We study the statistical underpinnings of life. We question some common assumptions about the thermodynamics of life and illustrate how, contrary to widespread belief, even in a closed system entropy growth can accompany an increase in…

Biological Physics · Physics 2019-08-23 Kate Jeffery , Robert Pollack , Carlo Rovelli

It has been hypothesized that in the era just before the last universal common ancestor emerged, life on earth was fundamentally collective. Ancient life forms shared their genetic material freely through massive horizontal gene transfer…

Populations and Evolution · Quantitative Biology 2015-11-18 Hinrich Arnoldt , Steven H. Strogatz , Marc Timme

Complex change is often described as "evolutionary" in economics, policy, and technology, yet most system dynamics models remain constrained to fixed state spaces and equilibrium-seeking behavior. This paper argues that evolutionary…

Populations and Evolution · Quantitative Biology 2026-02-19 Dan Adler

We carry out mathematical analyses, {\em \`{a} la} Helmholtz's and Boltzmann's 1884 studies of monocyclic Newtonian dynamics, for the Lotka-Volterra (LV) equation exhibiting predator-prey oscillations. In doing so a novel "thermodynamic…

Mathematical Physics · Physics 2015-11-05 Yi-An Ma , Hong Qian

The biological theory of adaptive dynamics proposes a description of the long-term evolution of a structured asexual population. It is based on the assumptions of large population, rare mutations and small mutation steps, that lead to a…

Probability · Mathematics 2007-05-23 Nicolas Champagnat , Amaury Lambert

According to the "hard-steps" model, the origin of humanity required "successful passage through a number of intermediate steps" (so-called "hard" or "critical" steps) that were intrinsically improbable with respect to the total time…

Populations and Evolution · Quantitative Biology 2025-02-18 Daniel B. Mills , Jennifer L. Macalady , Adam Frank , Jason T. Wright

The Fermi paradox has given rise to various attempts to explain why no evidence of extraterrestrial civilisations was found so far on Earth and in our Solar System. Here, we present a dynamical model for the development of such…

Earth and Planetary Astrophysics · Physics 2023-01-25 Dominik R. G. Schleicher , Stefano Bovino

Self-organization is the autonomous assembly of a network of interacting components into a stable, organized pattern. This article shows that the process of self-assembly can be encoded in terms of evolutionary entropy, a statistical…

Statistical Mechanics · Physics 2023-05-29 Lloyd A. Demetrius

Macroevolution is considered as a problem of stochastic dynamics in a system with many competing agents. Evolutionary events (speciations and extinctions) are triggered by fitness records found by random exploration of the agents' fitness…

adap-org · Physics 2017-01-11 Paolo Sibani , Michael Brandt , Preben Alstroem

This paper develops a detailed quantitative model which uses the Drake equation and an assumption of an average maximum radio broadcasting distance by an communicative civilization to derive a minimum civilization density for contact…

General Physics · Physics 2010-02-07 Reginald D. Smith

The serious games between humans and AI have only just begun. Evolutionary Game Theory (EGT) models the competitive and cooperative strategies of biological entities. EGT could help predict the potential evolutionary equilibrium of humans…

Artificial Intelligence · Computer Science 2025-05-23 Nandini Doreswamy , Louise Horstmanshof

Each galaxy is observed only once along its life, making galaxy evolution fundamentally an inverse statistical problem: time-dependent physics must be inferred from ensembles of single-epoch snapshots. To move beyond descriptive scaling…

Instrumentation and Methods for Astrophysics · Physics 2025-12-19 Sandro Tacchella , Vasily Belokurov , Harry T. J. Bevins , Roberto Maiolino , Hiranya V. Peiris , Lucia Pozzetti , Mark T. Sargent

The Einstein evolution equations may be written in a variety of equivalent analytical forms, but numerical solutions of these different formulations display a wide range of growth rates for constraint violations. For symmetric hyperbolic…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Lee Lindblom , Mark A. Scheel

We consider inhomogeneous spherically symmetric models based on the Lema\^{i}tre-Tolman-Bondi (LTB) metric, assuming as its source an interactive mixture of ordinary baryonic matter, cold dark matter and dark energy with a coupling term…

General Relativity and Quantum Cosmology · Physics 2022-07-07 Roberto C. Blanquet-Jaramillo , Roberto A. Sussman , Maximo Aguero , German Izquierdo

We reconsider the deterministic haploid mutation-selection equation with two types. This is an ordinary differential equation that describes the type distribution (forward in time) in a population of infinite size. This paper establishes…

Probability · Mathematics 2020-09-25 Ellen Baake , Fernando Cordero , Sebastian Hummel

Since the time of Darwin, scientists have struggled to reconcile the evolution of biological forms in a universe determined by fixed laws. These laws underpin the origin of life, evolution, human culture and technology, as set by the…

Stochastic modeling of phylogenies raises five questions that have received varying levels of attention from quantitatively inclined biologists. 1) How large do we expect (from the model) the ration of maximum historical diversity to…

Populations and Evolution · Quantitative Biology 2013-02-07 Lea Popovic , Maxim Krikun , David Aldous
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